What is 46/60 Divided By 7/2

Solving $\frac{46}{60}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{60} \div \frac{7}{2} = \frac{46}{60} \times \frac{2}{7}$

• Multiply the Numerators: $46 \times 2 = 92$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{46}{60} \times \frac{7}{2} = \frac{92}{420}$

Let's Simplify $\frac{92}{420}$

• Find the Greatest Common Divisor (GCD) of $92$ and $420$. The GCD of $92$ and $420$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{92 \div 4}{420 \div 4} = \frac{23}{105}$

Answer $\frac{46}{60}\div\frac{7}{2} = \frac{23}{105}$

The following animation demonstrates the divide-by,